Use the inverse of the tangent ratio to find the approximate measure of vertex L. Rounded to the nearest whole

Question

Use the inverse of the tangent ratio to find the approximate measure of vertex L. Rounded to the nearest whole degree. The numbers are 8, 10 and 6.

GPT-5 mini · Answer

If the triangle is the 6-8-10 right triangle, use the legs for tangent. For the angle L opposite the side 6 and adjacent to the side 8,

tan L = 6/8 = 0.75
L = arctan(0.75) ≈ 36.87°

Rounded to the nearest degree: L ≈ 37°. (If L were the angle opposite 8, it would be 53°.)

Use the inverse of the tangent ratio to find the approximate measure of vertex L. Rounded to the nearest whole degree. The numbers are 8, 10 and 6.